12m(m+2)=5m-4

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Solution for 12m(m+2)=5m-4 equation: 


Simplifying
12m(m + 2) = 5m + -4

Reorder the terms:
12m(2 + m) = 5m + -4
(2 * 12m + m * 12m) = 5m + -4
(24m + 12m2) = 5m + -4

Reorder the terms:
24m + 12m2 = -4 + 5m

Solving
24m + 12m2 = -4 + 5m

Solving for variable 'm'.

Reorder the terms:
4 + 24m + -5m + 12m2 = -4 + 5m + 4 + -5m

Combine like terms: 24m + -5m = 19m
4 + 19m + 12m2 = -4 + 5m + 4 + -5m

Reorder the terms:
4 + 19m + 12m2 = -4 + 4 + 5m + -5m

Combine like terms: -4 + 4 = 0
4 + 19m + 12m2 = 0 + 5m + -5m
4 + 19m + 12m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
4 + 19m + 12m2 = 0

Factor a trinomial.
(4 + 3m)(1 + 4m) = 0


Subproblem 1
Set the factor '(4 + 3m)' equal to zero and attempt to solve:

Simplifying
4 + 3m = 0

Solving
4 + 3m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3m = 0 + -4
3m = 0 + -4

Combine like terms: 0 + -4 = -4
3m = -4

Divide each side by '3'.
m = -1.333333333

Simplifying
m = -1.333333333

Subproblem 2
Set the factor '(1 + 4m)' equal to zero and attempt to solve:

Simplifying
1 + 4m = 0

Solving
1 + 4m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4m = 0 + -1
4m = 0 + -1

Combine like terms: 0 + -1 = -1
4m = -1

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25
Solution
m = {-1.333333333, -0.25}

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